Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Category
136 items
Evolve a 2D array of cells by randomly adding new cells at positions with certain neighborhood configurations
Return a substitution tiling
Give the antidiagonal of a matrix
Tests whether a matrix is an antidiagonal matrix
Uses the arcsine law to assess the randomness of a sequence of zeros and ones
Find the area between two plane curves
Generate the axis-angle representation of a three-dimensional rotation matrix
Generate an orthonormal basis from a given 3D real vector
Simplify Bessel functions in expression
Self-delimiting number representation
Conducts a runs–based test on a sequence of zeros and ones
Apply a Boolean function to corresponding bits in integers
Get a list of the number of Butcher trees through a given order
Get the butcher trees through a given order that are not reduced by Butcher’s quadrature, row- or column- simplifying conditions
Get the derivative with respect to a function
Plot iterations for the 2D chaos game
Calculate the value of the second Chebyshev function ψ(x)
Calculate the value of the first Chebyshev function θ(x)
Tests a sequence of 0s and 1s or a set of random reals between 0 and 1 for equidistribution and returns a p-value
Return the Christoffel symbol for a given metric
Compute the vertex chromatic number of a graph
Compute the Clausen functions
Get a cofactor of a matrix
Get the Collatz sequence starting with a given value
Compute properties of the column space of a matrix
Get the nth composite number
Switch the rows and columns of a partition
Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss
Get the pairs of primes that differ by 4
Calculate the cumulative averages of a list
Conducts a cumulative sum–based randomness test that creates a test statistic from the maximum value that a cumulative sums random walk achieves
Compute the evolution of a cyclic tag system
Test whether the permutation list is completely scrambled
Give all the ways the numbers 1, 2, …, n can be scrambled completely
Split a list at its left-to-right maxima
Give all possible ways to form proper brackets
Compute Egyptian fractions using different methods
Given tensors and their indices, sum over repeated indices
Get the number of permutations with a given number of ascents
Compute a Groebner basis and a conversion matrix from the input polynomials to the basis
Get a graph representation for the factorization of an integer
Fast factorial modulo a given number
Display the Ferrers diagram of a partition with dots
Get the fibbinary sequence
Find up to a specified number of isomorphisms between two permutation groups
Find all proper k-colorings of a specified graph
Express an integer factorization as it would be seen in a factorization table
Get a pair of lists representing the Ferrers diagram of a partition
Construct the permutation list corresponding to the given inversion vector
Convert TensorContract expressions into an equivalent form using Dot and Tr
Count the number of ways to partition a set where the order of the subsets matters
Determine the injectivity and surjectivity of a function
Create fractals by random partial jumps toward reference points
Get all representations of an even integer as the sum of two primes
Test whether an integer is a happy number
Get steps of Hofstadter's MU riddle
Get the list of lists whose entries are the hook lengths of the entries of a Young diagram
Counts the number of times an integer k appears within all possible ways to partition an integer n without calculating n’s integer partitions
Check whether the argument is a weakly decreasing list of positive integers
Compute and plot the approximation to the integral of a function of two variables on a rectangle using different methods and partition types
Check if a list is the inversion vector of a permutation written as a list
Compute a periodogram for data from unevenly spaced intervals
Simulate the Ising model using a cellular automata
Find the minimal spanning tree for a given set of points in Euclidean space
Give all possible ways to partition a set into a given number of subsets, ignoring order of blocks and within blocks
Calculate the Kullback-Leibler divergence between two distributions
Find the largest prime factor of a given integer
Give the greatest gap between the primes up to the argument
Create the Lehmer code corresponding to a given permutation
The logit function from probability
Display an L-system
Get a list of lucky numbers
Compute the evolution of a mobile automaton
Visualization of the evolution of a mobile automaton
Generate the rule icon for a mobile automaton
Determine the cardinality for a multiset
Perform the complement operation on multisets
Compute the Dice dissimilarity of two multisets
Test whether or not one multiset is included in another multiset
Perform the intersection operation on multisets
Compute the Jaccard dissimilarity of two multisets
Perform the product operation on multisets
Compute the Sokal–Sneath dissimilarity of two multisets
Perform the sum operation on multisets
Determine the support for a multiset
Get the symmetric difference of the given lists
Numerically evaluate the gradient of a function summed over the eigenvalues of a matrix, with respect to matrix parameters
Plot a nondeterministic finite automaton
Simulate the behavior of a nondeterministic finite automaton
Find the numerical approximation for the inverse Laplace transform
Compute the nullity of a matrix
Get Dyson's crank of an integer partition
Construct the corresponding partition, given a Frobenius symbol
The largest part minus the number of parts of a partition
Display a given number of rows in Pascal's triangle
Make plots of Penrose tiles
Test whether a permutation equals its inverse
Get a list of powers of the golden ratio which sum to a given integer
Subdivide an interval such that the ratio of subsequent elements is constant
Give the remainder on division of a power tower expression
Test if a certificate can be used for ascertaining the primality or compositeness of a number
Get the set of primitive nth roots of unity
Certify a number as provably prime
Compute the quadratic residues of an integer
A quantum cellular automaton model that evolves the tensor product of a collection of initial qubits using arbitrary compositions of unitary operators for a finite number of steps
Represent a quaternion object
Plot an array of digits, allowing them to be ragged on the left
Find a rational interpolation of a function
Find a near minimal set of marks for an integer length ruler so that all smaller integer distances are measurable
Plot Riemann surfaces of compositions of elementary functions
Compute properties of the row space of a matrix
Conduct a runs up–based randomness test on a sequence of random reals between 0 and 1
Conduct a randomness test on a sequence of random reals between 0 and 1 using run lengths of increasing subsequences
Visualization of the evolution of a sequential substitution system
Generate the rule icon for a sequential substitution system
Conduct an empirically derived test that assesses randomness using the frequencies of serial combinations of 0s and 1s
Get the pairs of primes that differ by 6
Get the measure of a simplex or simplicial complex
Total number of smallest parts in the partitions of a positive integer
Use a discrete cosine transform–based method to test the randomness of a sequence of random reals
Get the standard simplex for a specified dimension
Construct a stem-and-leaf diagram
Get the evolution of a symbolic system
Compute the evolution of a tag system
Generate the rule icon for a tag system
Transform components of tensors with arbitrary rank with regard to their transformation behavior under any given mapping
Given a metric, convert between covariant and contravariant components of a tensor
Get the inversion vector of a permutation written as a list
Get the integers from 1 to n that have no common proper factor with n
Convert an expression involving Dot and Tr into an equivalent expression using TensorContract
Get the pairs of primes that differ by 2
Starting with the third term, give the least integer expressible uniquely as the sum of two distinct earlier terms
Check if the given graph coloring is valid
Calculate the variance of a list along with its uncertainty
Test whether an integer is a wasteful number
Give the 0–1 list that indicates the unique nonconsecutive Fibonacci numbers that sum to the non-negative integer input